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Let P (x ) be a quadratic polynomial wi...

Let `P (x ) ` be a quadratic polynomial with real coefficients such that for all real x the relation `2 (1+P (x)) =P (x -1) + P (x +1)` holds.
If `P (0) =8 and P (2) =32` then :
The sum of all the coefficient of `P (x)` is :

A

20

B

19

C

17

D

15

Text Solution

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The correct Answer is:
B
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